Evaluate
\frac{280}{23}\approx 12.173913043
Factor
\frac{2 ^ {3} \cdot 5 \cdot 7}{23} = 12\frac{4}{23} = 12.173913043478262
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\begin{array}{l}\phantom{230)}\phantom{1}\\230\overline{)2800}\\\end{array}
Use the 1^{st} digit 2 from dividend 2800
\begin{array}{l}\phantom{230)}0\phantom{2}\\230\overline{)2800}\\\end{array}
Since 2 is less than 230, use the next digit 8 from dividend 2800 and add 0 to the quotient
\begin{array}{l}\phantom{230)}0\phantom{3}\\230\overline{)2800}\\\end{array}
Use the 2^{nd} digit 8 from dividend 2800
\begin{array}{l}\phantom{230)}00\phantom{4}\\230\overline{)2800}\\\end{array}
Since 28 is less than 230, use the next digit 0 from dividend 2800 and add 0 to the quotient
\begin{array}{l}\phantom{230)}00\phantom{5}\\230\overline{)2800}\\\end{array}
Use the 3^{rd} digit 0 from dividend 2800
\begin{array}{l}\phantom{230)}001\phantom{6}\\230\overline{)2800}\\\phantom{230)}\underline{\phantom{}230\phantom{9}}\\\phantom{230)9}50\\\end{array}
Find closest multiple of 230 to 280. We see that 1 \times 230 = 230 is the nearest. Now subtract 230 from 280 to get reminder 50. Add 1 to quotient.
\begin{array}{l}\phantom{230)}001\phantom{7}\\230\overline{)2800}\\\phantom{230)}\underline{\phantom{}230\phantom{9}}\\\phantom{230)9}500\\\end{array}
Use the 4^{th} digit 0 from dividend 2800
\begin{array}{l}\phantom{230)}0012\phantom{8}\\230\overline{)2800}\\\phantom{230)}\underline{\phantom{}230\phantom{9}}\\\phantom{230)9}500\\\phantom{230)}\underline{\phantom{9}460\phantom{}}\\\phantom{230)99}40\\\end{array}
Find closest multiple of 230 to 500. We see that 2 \times 230 = 460 is the nearest. Now subtract 460 from 500 to get reminder 40. Add 2 to quotient.
\text{Quotient: }12 \text{Reminder: }40
Since 40 is less than 230, stop the division. The reminder is 40. The topmost line 0012 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 12.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}